Axial force can exist in a structural member even when no parallel force is applied, particularly when a load is applied perpendicular to the member. In the case of a simply supported beam with a vertical load, compressive forces develop on one side of the neutral axis while tensile forces emerge on the opposite side. These horizontal forces generate a moment that helps resist the perpendicular load. Therefore, the interaction of forces within the beam illustrates the presence of axial forces despite the absence of direct parallel loads. Understanding these dynamics is crucial for accurate structural analysis and design.